Algebra 1 Common Core Student Edition, Grade 8-9

Graph each function rule.

24. y= \x\ —7


25. y = x 3 - 1


26. y = | —2jc| - 1

See Problem 4.

25. y = |jc| + 2


26. y = 3x3


27. y = —x3
    26. y = 2|x|
    29. y = -2 x 2
    32. y = |x — 3 1

0 A p p ly 3 3. E rro r A n alysis T h e g r a p h a t t h e r i g h t s h o w s th e d is ta n c e dyou run, in miles,

as a fu n c tio n o f tim e t, i n m in u t e s , d u r i n g a 5 - m i r u n. Y o u r f r i e n d says t h a t t h e

graph is not continuous because it stops at d = 5, so th e g r a p h is d is c r e te. D o

you agree? Explain.

34. W riting Is th e p o in t ^2,2^j o n t h e g r a p h o f y = x + 2? H o w d o y o u k n o w?


35. Geom etry The area A o f a n is o s c e le s r i g h t t r ia n g le d e p e n d s o n t h e le n g t h €
    of each leg of the triangle. This is represented by the rule A = ^ .X^9 G r a p h t h e
    fu n c tio n rule. Is the graph continuous o r discrete? H o w d o y o u k n o w?


36. W h ic h f u n c t i o n r u le is g r a p h e d b e lo w?
    1

Time (min), t

y = ~ 2 X + 1

CDy = 2*-i^1

CO y = ||x| - 1

y = |x + 1

h = 4.75 - 0.22p

37. Sporting Goods T h e a m o u n t a b a s k e t b a ll c o a c h s p e n d s a t a s p o r t in g g o o d s s to re
    d e p e n d s o n t h e n u m b e r o f b a s k e tb a lls t h e c o a c h b u y s. T h e s it u a t io n is r e p r e s e n te d
    b y th e f u n c t i o n r u le a = 15b.
    a. Make a table of values and graph the function rule. Is the graph continuous o r
    discrete? E x p l a i n.
    b. Suppose the coach spent $120 before tax. How many basketballs did she buy?


38. Think About a Plan The height h, in inches, o f the
    vinegar in the jars of pickle chips shown at the right
    depends on the num ber o f chips p y o u e a t. A b o u t h o w
    m a n y c h ip s m u s t y o u e a t t o lo w e r t h e le v e l o f th e v in e g a r
    i n t h e ja r o n th e le f t t o th e le v e l o f t h e j a r o n t h e r ig h t? U s e
    a g r a p h t o f i n d t h e a n s w e r.
    
    
    • W h a t s h o u ld t h e m a x im u m v a lu e o f p b e o n th e
      horizontal axis?
    
    
    • W hat are reasonable values o f p in th is s itu a tio n?
      G2D 39. Falling Objects The height h, i n fe e t, o f a n a c o r n t h a t
      falls fro m a b ra n c h 100 ft above th e g ro u n d depends
      on the tim e t, in seconds, since it has fa lle n. This is repre sen ted b y th e ru le
      h = 100 - 1612. A b o u t h o w m u c h t im e d o e s i t ta k e f o r t h e a c o r n t o h i t th e g ro u n d?
      U s e a g r a p h a n d g iv e a n a n s w e r b e tw e e n t w o c o n s e c u tiv e w h o le - n u m b e r v a lu e s o f t.
    
    
    
    

i

4in.

258 Chapter 4 An Introduction to Functions